Properties

Label 52800.t
Number of curves $1$
Conductor $52800$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 52800.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
52800.t1 52800bz1 \([0, -1, 0, -208, -1238]\) \(-25000000/3993\) \(-159720000\) \([]\) \(18432\) \(0.30215\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 52800.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 52800.t do not have complex multiplication.

Modular form 52800.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + q^{11} + 4 q^{13} - 3 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display